Arnold's Problems [electronic resource] /
Arnold, Vladimir I.editor.
Arnold's Problems contains mathematical problems brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. The invariable peculiarity of these problems was that Arnold did not consider mathematics a game with deductive reasoning and symbols, but a part of natural science (especially of physics), i.e. an experimental science. Many of these problems are still at the frontier of research today and are still open, and even those that are mainly solved keep stimulating new research, appearing every year in journals all over the world. The second part of the book is a collection of commentaries, mostly by Arnold's former students, on the current progress in the problems' solutions (featuring a bibliography inspired by them). This book will be of great interest to researchers and graduate students in mathematics and mathematical physics.
Preliminaries; Author's Preface to the Second Edition; Author's Preface to the First Edition; Editorial to the Second Edition; Editorial to the First Edition; Contents; The Problems; Comments; Author Index for Comments
Enlarged and updated English edition of the Russian original published in 2000 by Phasis, Moscow.
Includes bibliographical references and index.
Arnold's Problems contains mathematical problems brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. The invariable peculiarity of these problems was that Arnold did not consider mathematics a game with deductive reasoning and symbols, but a part of natural science (especially of physics), i.e. an experimental science. Many of these problems are still at the frontier of research today and are still open, and even those that are mainly solved keep stimulating new research, appearing every year in journals all over the world. The second part of the book is a collection of commentaries, mostly by Arnold's former students, on the current progress in the problems' solutions (featuring a bibliography inspired by them). This book will be of great interest to researchers and graduate students in mathematics and mathematical physics.
Mathematical analysis.
Analysis (Mathematics).
Geometry.
Algebra.
Mathematical physics.
Mathematics.
History.
Analysis.
Geometry.
Algebra.
Theoretical, Mathematical and Computational Physics.
History of Mathematical Sciences.